English
Maharashtra State BoardSSC (English Medium) 9th Standard

In a ‘tree plantation’ project of a certain school there are 45 students of 'Harit Sena'. The record of trees planted by each student is given below: 3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6

Advertisements
Advertisements

Question

In a ‘tree plantation’ project of a certain school there are 45 students of 'Harit Sena'. The record of trees planted by each student is given below:

3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5, 7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.

Prepare a frequency distribution table of the data.

Sum
Advertisements

Solution

Number of trees planted Tally marks Number of students/Frequency
3 `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` 10
4 `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|` 11
5 `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|` 11
6 `cancel(bb|bb|bb|bb|)` `bb||` 7
7 `cancel(bb|bb|bb|bb|)` `bb|` 6
    Total (N) = 45
shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Statistics - Practice set 7.3 [Page 118]

APPEARS IN

Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 7 Statistics
Practice set 7.3 | Q (5) | Page 118

RELATED QUESTIONS

Find the class-mark of the class 35 - 40.


Complete the Following Table.

Classes (age) Tally marks Frequency
(No. of students)
12 - 13 `cancel(bb|bb|bb|bb|)` `square`
13 - 14 `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|bb|bb|bb|` `square`
14 - 15   `square`
15 - 16 `bb|bb|bb|bb|` `square`
    `bb(N = sumf = 35)`

The value of π upto 50 decimal places is given below:

3.14159265358979323846264338327950288419716939937510 

From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.


Given below are the marks obtained by 30 students in an examination:

08 17 33 41 47 23 20 34
09 18 42 14 30 19 29 11
36 48 40 24 22 02 16 21
15 32 47 44 33 01    

Taking class intervals 1-10, 11-20, ....., 41-50; make a frequency table for the above distribution.


Construct the frequency distribution table from the following cumulative frequency table:

Ages No. of students
Below 4 0
Below 7 85
Below 10 140
Below 13 243
Below 16 300

(i) State the number of students in the age group 10 - 13.
(ii) State the age-group which has the least number of students.


Construct a frequency table from the following data:

Marks No. of students
less than 10 6
less than 20 15
less than 30 30
less than 40 39
less than 50 53
less than 60 70

Construct a cumulative frequency distribution table from the frequency table given below:
( i )

Class Interval Frequency
0 - 8  9
8 - 16  13
16 - 24  12
24 - 32  7
32 - 40  15

( ii )

Class Interval  Frequency 
1 - 10  12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10

Construct a cumulative frequency distribution table from the frequency table given below:

Class Interval Frequency
0 -8 9
8 - 16 13
16 - 24 12
24 - 32 7
32 - 40  15

The marks of 24 candidates in the subject mathematics are given below:

45 48 15 23 30 35 40 11
29 0 3 12 48 50 18 30
15 30 11 42 23 2 3 44

The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10-20, .......


In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2


The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.
3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2


Represent the following data in ungrouped frequency table which gives the number of children in 25 families.

1, 3, 0, 2, 5, 2, 3, 4, 1, 0, 5, 4, 3, 1, 3, 2, 5, 2, 1, 1, 2, 6, 2, 1, 4


The number of times a particular observation occurs in a given data is called its ______.


Using the following frequency table.

Marks (obtained out of 10) 4 5 7 8 9 10
Frequency 5 10 8 6 12 9

10 marks the highest frequency.


If the fifth class interval is 60 – 65, fourth class interval is 55 – 60, then the first-class interval is 45 – 50.


Following are the number of members in 25 families of a village:

6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.

Prepare a frequency distribution table for the data using class intervals 0 – 2, 2 – 4, etc.


The marks obtained (out of 20) by 30 students of a class in a test are as follows:

14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.

Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 – 8 (excluding 8 and including 4).


The weights (in kg) of 30 students of a class are:

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.

  1. Which class has the least frequency?
  2. Which class has the maximum frequency?

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

  1. How many classes are there in the frequency distribution table?
  2. Which weight group has the highest frequency?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×